Given
Initial velocity = 35 ft/sec
Initial height of shot put from horizontal , h' = 4 ft
Angle = 40 degree
Find
Time taken for the shot put to be a horizontal distance of 40 ft. from the person throwing it
Explanation
First we find the horizontal component of velocity
Horizontal component of velocity is
[tex]\begin{gathered} u_x=u\cos\theta \\ u_x=35\cos40\degree \\ u_x=26.812\frac{ft}{sec} \end{gathered}[/tex]the time taken by the shot put to travel a horizontal distance of 40 ft. from the person throwing it is
[tex]\begin{gathered} t=\frac{40}{u_x} \\ \\ t=\frac{40}{26.812}=1.4918\approx1.50sec \end{gathered}[/tex]Final Answer
Therefore , the time taken by the shot put to travel a horizontal distance of 40 ft. from the person throwing it is 1.50 seconds